Abstract.
We identify a region of a specific F(R)=R N gravity solution without external sources which is isometric to the spacetime of colliding plane waves (CPW). The analogy renders construction and collision of plane waves in F(R)=R N gravity possible. The geometry of the interaction region is equivalent to the Reissner-Nordström (RN) one, however there is no Einstein-Maxwell (EM) source --this is made possible by using the model of RN gravity and the parameter \(N>1\) creates the source. For N=1, we naturally recover the plane waves (and their collision) in Einstein's theory.
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References
S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011)
T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)
J.B. Griffiths, Colliding Plane Waves in General Relativity (Oxford University Press, Oxford, 1991)
S. Chandrasekhar, B.C. Xanthopoulos, Proc. R. Soc. A 408, 175 (1986)
E. Halilsoy, M. Halilsoy, Phys. Rev. D 69, 124021 (2004)
E. Halilsoy, M. Halilsoy, O. Unver, J. Math. Phys. 47, 012502 (2006)
R. Penrose, Any spacetime has a plane wave as a limit in Differential Geometry (Reidel, Dordrecht, 1976) pp. 271
M. Halilsoy, Near Horizon Geometry of Extreme Black holes and Colliding Waves, arXiv:gr-qc/0210055
S.H. Hendi, Phys. Lett. B 690, 220 (2010)
S. O'Brien, J.L. Synge, Jump conditions at discontinuities in general relativity, in Communications of the Dublin Institute for Advanced Studies, ser. A, no. 9 (1952)
P.C. Aichelburg, R.U. Sexl, Gen. Relativ. Gravit. 2, 303 (1971)
U. Yurtsever, Phys. Rev. D 40, 329 (1989)
U. Yurtsever, Class. Quantum Grav. 10, L17 (1993)
J.B. Griffiths, Gen. Relativ. Gravit. 37, 1119 (2005)
O. Gurtug, M. Halilsoy, Phys. Rev. D 64, 084023 (2001)
U. Yurtsever, Phys. Rev. D 38, 1706 (1988)
V. Ferrari, J. Ibanez, Gen. Relativ. Gravit. 19, 405 (1987)
P. Bell, P. Szekeres, Gen. Relativ. Gravit. 5, 275 (1974)
B. Carter, Phys. Rev. 174, 1559 (1968)
O. Gurtug, M. Halilsoy, Int. J. Mod. Phys. A 24, 5579 (2009)
O. Gurtug, M. Halilsoy, Int. J. Mod. Phys. A 24, 3171 (2009)
S.H. Mazharimousavi, M. Halilsoy, T. Tahamtan, Eur. Phys. J. C 72, 1958 (2012)
T. Dray, G. 't Hooft, Class. Quantum Grav. 3, 825 (1986)
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Tahamtan, T., Halilsoy, M. & Habib Mazharimousavi, S. Colliding plane waves in F(R)=RN gravity. Eur. Phys. J. Plus 131, 350 (2016). https://doi.org/10.1140/epjp/i2016-16350-9
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DOI: https://doi.org/10.1140/epjp/i2016-16350-9